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4343114440 = 2357178310993
BaseRepresentation
bin1000000101101111…
…01010101011001000
3102012200100001222101
410002313222223020
532343314130230
61554544003144
7212424602140
oct40267525310
912180301871
104343114440
111929636185
12a126004b4
13542a36802
142d2b4b920
151a644daca
hex102deaac8

4343114440 has 128 divisors (see below), whose sum is σ = 11968508160. Its totient is φ = 1384464384.

The previous prime is 4343114407. The next prime is 4343114459. The reversal of 4343114440 is 444113434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4343114399 and 4343114408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389584 + ... + 400576.

It is an arithmetic number, because the mean of its divisors is an integer number (93503970).

Almost surely, 24343114440 is an apocalyptic number.

4343114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4343114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984254080).

4343114440 is an abundant number, since it is smaller than the sum of its proper divisors (7625393720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4343114440 is a wasteful number, since it uses less digits than its factorization.

4343114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11111 (or 11107 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4343114440 is about 65902.3098229493. The cubic root of 4343114440 is about 1631.5501381254.

Adding to 4343114440 its reverse (444113434), we get a palindrome (4787227874).

The spelling of 4343114440 in words is "four billion, three hundred forty-three million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 83 85 119 136 140 166 170 238 280 332 340 415 476 581 595 664 680 830 952 1162 1190 1411 1660 2324 2380 2822 2905 3320 4648 4760 5644 5810 7055 9877 10993 11288 11620 14110 19754 21986 23240 28220 39508 43972 49385 54965 56440 76951 79016 87944 98770 109930 153902 186881 197540 219860 307804 373762 384755 395080 439720 615608 747524 769510 912419 934405 1308167 1495048 1539020 1824838 1868810 2616334 3078040 3649676 3737620 4562095 5232668 6386933 6540835 7299352 7475240 9124190 10465336 12773866 13081670 15511123 18248380 25547732 26163340 31022246 31934665 36496760 51095464 52326680 62044492 63869330 77555615 108577861 124088984 127738660 155111230 217155722 255477320 310222460 434311444 542889305 620444920 868622888 1085778610 2171557220 4343114440